topic badge

4.05 Graphing quadratic functions

Interactive practice questions

Consider the equation $y=-x^2$y=x2

a

Complete the following table of values.

$x$x $-3$3 $-2$2 $-1$1 $0$0 $1$1 $2$2 $3$3
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Plot the points in the table of values.

Loading Graph...
c

Hence plot the curve.

Loading Graph...
d

Are the $y$y values ever positive?

No

A

Yes

B
e

What is the maximum $y$y value?

f

Write down the equation of the axis of symmetry.

Easy
4min

Consider the quadratic $y=3x^2$y=3x2.

Easy
2min

Consider the quadratic equation $y=-2x^2$y=2x2.

Easy
2min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

II.F.IF.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

II.F.IF.5

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

II.F.IF.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

II.F.IF.7.a

Graph linear and quadratic functions and show intercepts, maxima, and minima.

What is Mathspace

About Mathspace